A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function

DOI10.1002/mana.201010081zbMath1386.11102OpenAlexW2160879420MaRDI QIDQ5174431

Xue Luo, Huaiqing Zuo, Stephen Shing-Toung Yau

Publication date: 17 February 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201010081

zbMATH Keywords

integral pointstetrahedronDickman-de Bruijn function

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattice points in specified regions (11P21)

Related Items (3)

A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers ⋮ A sharp lower bound for the geometric genus and Zariski multiplicity question ⋮ On the polynomial sharp upper estimate conjecture in 7-dimensional simplex

Cites Work

• Coordinate-free characterization of homogeneous polynomials with isolated singularities
• Durfee conjecture and coordinate free characterization of homogeneous singularities
• An upper estimate of integral points in real simplices with an application to singularity theory
• On the GLY conjecture of upper estimate of positive integral points in real right-angled simplices
• The signature of smoothings of complex surface singularities
• Toric varieties, lattice points and Dedekind sums
• The Ehrhart polynomial of a lattice polytope
• A sharp upper estimate of the number of integral points in a 5-dimensional tetrahedra
• Isolated singularities defined by weighted homogeneous polynomials
• Genera of algebraic varieties and counting of lattice points
• Lattice points in simple polytopes
• Counting the Number of Integral Points in General n-Dimensional Tetrahedra and Bernoulli Polynomials
• A sharp estimate of the number of integral points in a 4-dimensional tetrahedra.
• The Lattice Points of Tetrahedra
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